The Fifth National Bank of Bryan is expanding. The board of directors has concluded that a second teller is needed. The initial phase involves determining current system properties. At present, customers arrive following the exponential distribution at the rate of about 12 per hour. The teller spends an average time of 4 minutes with each customer. Using the exponential arrival distribution, and two servers:
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Determine the probability of an arriving customer finding at least five people already in the queue (thus constituting six customers in the system: One being served, four in line, plus the new arrival). (Round your answer to 4 decimal places.)
Problem TS2 - 16 Part b
Determine the same probability for a two-teller system.